document.write( "Question 626636: An Exterior Angle Of A Regular Polygon Is Four Times Smaller Than Its Interior Angle.how Many Sides Does The Polygon Have? \n" ); document.write( "
Algebra.Com's Answer #394331 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An Exterior Angle Of A Regular Polygon Is Four Times Smaller Than Its Interior Angle.how Many Sides Does The Polygon Have? \n" ); document.write( "==== \n" ); document.write( "Let the interior angle be \"4x\". \n" ); document.write( "Then the exterior angle will be \"x\". \n" ); document.write( "--- \n" ); document.write( "Equation: x + 4x = 180 \n" ); document.write( "5x = 180 \n" ); document.write( "x = 36 degrees (measure of each exterior angle) \n" ); document.write( "--- \n" ); document.write( "The sum of all of the exterior angles is always 360 degrees. \n" ); document.write( "--- \n" ); document.write( "# of sides = # of exterior angles = 360/36 = 10 \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |